y-y-3/3/frac{4{9}+2/3y} eching

$$\frac { y - \frac { y - 3 } { 3 } } { \frac { 4 } { 9 } + \frac { 2 } { 3 y } }$$

Baholash

$$\frac{3y}{2}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{\frac{3y}{3}-\frac{y-3}{3}}{\frac{4}{9}+\frac{2}{3y}}$$

\frac{3y}{3} va \frac{y-3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3y-\left(y-3\right)}{3}}{\frac{4}{9}+\frac{2}{3y}}$$

3y-\left(y-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3y-y+3}{3}}{\frac{4}{9}+\frac{2}{3y}}$$

3y-y+3 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{2y+3}{3}}{\frac{4}{9}+\frac{2}{3y}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9 va 3y ning eng kichik umumiy karralisi 9y. \frac{4}{9} ni \frac{y}{y} marotabaga ko'paytirish. \frac{2}{3y} ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{\frac{2y+3}{3}}{\frac{4y}{9y}+\frac{2\times 3}{9y}}$$

\frac{4y}{9y} va \frac{2\times 3}{9y} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{2y+3}{3}}{\frac{4y+2\times 3}{9y}}$$

4y+2\times 3 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{2y+3}{3}}{\frac{4y+6}{9y}}$$

\frac{2y+3}{3} ni \frac{4y+6}{9y} ga bo'lish \frac{2y+3}{3} ga k'paytirish \frac{4y+6}{9y} ga qaytarish.

$$\frac{\left(2y+3\right)\times 9y}{3\left(4y+6\right)}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{3y\left(2y+3\right)}{4y+6}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{3y\left(2y+3\right)}{2\left(2y+3\right)}$$

Surat va maxrajdagi ikkala 2y+3 ni qisqartiring.

$$\frac{3y}{2}$$

Kengaytirish

$$\frac{3y}{2}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{\frac{3y}{3}-\frac{y-3}{3}}{\frac{4}{9}+\frac{2}{3y}}$$

\frac{3y}{3} va \frac{y-3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3y-\left(y-3\right)}{3}}{\frac{4}{9}+\frac{2}{3y}}$$

3y-\left(y-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3y-y+3}{3}}{\frac{4}{9}+\frac{2}{3y}}$$

3y-y+3 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{2y+3}{3}}{\frac{4}{9}+\frac{2}{3y}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9 va 3y ning eng kichik umumiy karralisi 9y. \frac{4}{9} ni \frac{y}{y} marotabaga ko'paytirish. \frac{2}{3y} ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{\frac{2y+3}{3}}{\frac{4y}{9y}+\frac{2\times 3}{9y}}$$

\frac{4y}{9y} va \frac{2\times 3}{9y} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{2y+3}{3}}{\frac{4y+2\times 3}{9y}}$$

4y+2\times 3 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{2y+3}{3}}{\frac{4y+6}{9y}}$$

\frac{2y+3}{3} ni \frac{4y+6}{9y} ga bo'lish \frac{2y+3}{3} ga k'paytirish \frac{4y+6}{9y} ga qaytarish.

$$\frac{\left(2y+3\right)\times 9y}{3\left(4y+6\right)}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{3y\left(2y+3\right)}{4y+6}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{3y\left(2y+3\right)}{2\left(2y+3\right)}$$

Surat va maxrajdagi ikkala 2y+3 ni qisqartiring.

$$\frac{3y}{2}$$